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Homework Help: Bijection between reals and irrationals

  1. Apr 5, 2008 #1
    1. The problem statement, all variables and given/known data

    Prove that |R \ |Q ~ |R ... the irrationals are equinumerous to the reals

    2. Relevant equations



    3. The attempt at a solution

    I can prove it using the Cantor Schroeder Bernstein theorem, but i was wondering if there
    is a clever way of constructing the bijection explicitely ...
    thanks,
    g.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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